Open Research Index

871 records

  1. The quasi-isometry classes of Galton–Watson trees: Lean formalisation

    Jayadev S. Athreya, Sascha Troscheit

    Palomar RegistrySep 30, 2026math.PRmachine-checkedscore 0

  2. Characterizing digraph support families by rooted-interval deletion

    Michael Mislan

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  3. Two-fold Langford sequences exist exactly when 3l ≥ 2d − 1; the m-fold counting bound and its attainment, and a residue bound

    JD Jones

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  4. Erdős Problem #1219 in Lean 4: Σ_k 2^{ℵ_{n_k}} → (ℵ_ω)² (Shelah 1975)

    Ji Ho Bae (JRTI)

    Palomar RegistrySep 30, 2026math.LOmachine-checkedscore 0

  5. Erdős Problem 809: rainbow odd cycles

    Jacob Parish

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  6. One-generated (1518 + 3862)-magmas are trivial or the Z/3 shift; an explicit family of finite 1518-magmas violating laws 47, 614, 817, 3862

    Carlo Perassi

    Palomar RegistrySep 30, 2026math.RAmachine-checkedscore 0

  7. NP-hardness of Gaussian c-separation

    Tomislav Prusina

    Palomar RegistrySep 30, 2026cs.LOmachine-checkedscore 0

  8. At least one of ζ(7), ζ(9), …, ζ(21) is irrational

    Gennaro Marco Devincenzis

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  9. Determinants and unstable cores in sequential distributive phosphorylation

    Michael Mislan

    Palomar RegistrySep 30, 2026math.DSmachine-checkedscore 0

  10. Attracting oscillations in sequential distributive phosphorylation

    Michael Mislan

    Palomar RegistrySep 30, 2026math.DSmachine-checkedscore 0

  11. Adamczewski–Bugeaud 2007: the complexity of algebraic numbers in integer bases

    Ralf Stephan

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  12. Zero-divisor criteria for absolute concentration robustness

    Michael Mislan

    Palomar RegistrySep 30, 2026math.ACmachine-checkedscore 0

  13. kissing-number-lean

    Marek Wrzos

    Palomar RegistrySep 30, 2026math.MGmachine-checkedscore 0

  14. Irrationality of Li₂(1/2)

    Qian Tang

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  15. Hong and Kung's red-blue pebble game: the partition lemma and I/O lower bounds for the FFT and matrix multiplication

    George A. Constantinides

    Palomar RegistrySep 30, 2026cs.CCmachine-checkedscore 0

  16. Near-linear cycles in connected vertex-transitive graphs

    Matija Bucic

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  17. Frankl-Kupavskii-Swanepoel Theorem 3: fewer than C(d+2,2) edges embeds in R^d

    Dishant Shah

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  18. Krohn–Rhodes decomposition of finite monoids into aperiodic and simple-group factors

    Aditya Rao

    Palomar RegistrySep 30, 2026math.GRmachine-checkedscore 0

  19. The 2-adic zeta value ζ₂(7) is irrational

    Gennaro Marco Devincenzis

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  20. Deciding D-stability is coNP-hard

    Michael Mislan

    Palomar RegistrySep 30, 2026math.DSmachine-checkedscore 0

  21. A critical-point criterion for D-stability in every dimension

    Michael Mislan

    Palomar RegistrySep 30, 2026math.DSmachine-checkedscore 0

  22. Improved sum–difference inequalities in abelian groups

    Logan J. Kleinwaks

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  23. solid-lean

    Elliot Glazer

    Palomar RegistrySep 30, 2026math.LOmachine-checkedscore 0

  24. ProbStack — Random Stacking on Trees

    John Fairfax-Ball

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  25. Local Hodge generation of sl(15) and scalar response rigidity

    Stephanie Alexander

    Palomar RegistrySep 30, 2026math.RTmachine-checkedscore 0

  26. Unistationarity of Type II_l and Type V normal forms with nonnegative degradation

    Michael Mislan

    Palomar RegistrySep 30, 2026math.DSmachine-checkedscore 0

  27. FKS Problem 2 in dimension three

    Dishant Shah

    Palomar RegistrySep 30, 2026math.COmachine-checkedscore 0

  28. Unconstrained detection of productive autocatalytic cores is NP-complete

    Michael Mislan

    Palomar RegistrySep 30, 2026cs.CCmachine-checkedscore 0

  29. Black-Scholes pricing via Girsanov change of measure

    Ezzeri Esa

    Palomar RegistrySep 30, 2026math.PRmachine-checkedscore 0

  30. Linear independence of 1, ζ(2), ζ(3) over ℚ

    Qian Tang

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  31. Evertse 1984: sums of S-units and linear recurrences

    Ralf Stephan

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  32. Embedding countable groups into groups of type FP_n

    Laurent Bartholdi

    Palomar RegistrySep 30, 2026math.GRmachine-checkedscore 0

  33. Pascal Extremes

    John Fairfax-Ball

    Palomar RegistrySep 30, 2026math.NTmachine-checkedscore 0

  34. Metric–Pfaffian Stabilizers and Fixed-Hodge Field Recovery

    Stephanie Alexander

    Palomar RegistrySep 30, 2026math.RTmachine-checkedscore 0

  35. A complete crystalline-measure space of countably infinite Hamel dimension

    Jamie Martin, Li Shen

    Palomar RegistrySep 30, 2026math.CAmachine-checkedscore 0

  36. Amenability of Lie, group and Hopf algebras

    Laurent Bartholdi

    Palomar RegistrySep 30, 2026math.RAmachine-checkedscore 0

  37. Adversary bounds and the polynomial method for quantum queries

    Troy Lee

    Palomar RegistrySep 29, 2026quant-phmachine-checkedscore 0

  38. A Lean formalization of the Erdős discrepancy theorem

    Sean Huver

    Palomar RegistrySep 29, 2026math.NTmachine-checkedscore 0

  39. Global class field theory in Lean 4.35.0-rc2

    Naganori Yamaguchi

    Palomar RegistrySep 28, 2026math.NTmachine-checkedscore 0

  40. Local class field theory in Lean 4.35.0-rc2

    Naganori Yamaguchi

    Palomar RegistrySep 28, 2026math.NTmachine-checkedscore 0

  41. Lean Formalization of Interpreting Lambda Calculus in Domain-Valued Random Variables (CSL 2026)

    Lars Warren Ericson

    Palomar RegistrySep 28, 2026cs.LOmachine-checkedscore 0

  42. Conditional Hilbert-space classification of Gromov--Hausdorff space

    Yoshito Ishiki

    Palomar RegistrySep 28, 2026math.GNmachine-checkedscore 0

  43. Uniform Minor-Arc Cancellation for Primes at the X^{2/15+ε} Scale

    Conor Grogan

    Palomar RegistrySep 27, 2026math.NTmachine-checkedscore 0

  44. Corvaja–Zannier 2004: rational approximations to the powers of an algebraic number

    Ralf Stephan

    Palomar RegistrySep 27, 2026math.NTmachine-checkedscore 0

  45. Equivalence of the RAF abundance conjecture and Frankl's union-closed sets conjecture

    Michael Mislan

    Palomar RegistrySep 27, 2026math.COmachine-checkedscore 0

  46. Zero forcing number of the generalized Petersen graphs P(n,3)

    John Fairfax-Ball

    Palomar RegistrySep 27, 2026math.COmachine-checkedscore 0

  47. The Four Color Theorem (Lean 4 port of Gonthier's Coq proof)

    Robert D. Barish

    Palomar RegistrySep 27, 2026math.COmachine-checkedscore 0

  48. Péterfalvi's Problem for p = 3: No Group Satisfies Hypothesis (B)

    Yawara Ishida

    Palomar RegistrySep 27, 2026math.GRmachine-checkedscore 0

  49. Erdős Problem #1220 in Lean 4: the affirmative statement is not provable in ZFC

    Ji Ho Bae (JRTI)

    Palomar RegistrySep 26, 2026math.LOmachine-checkedscore 0

  50. Myerson-Satterthwaite impossibility theorem (continuous bilateral-trade version)

    Arthur Freitas Ramos

    Palomar RegistrySep 26, 2026econ.THmachine-checkedscore 0

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